Conformal slant submersions

Akyol M. A., Şahin B.

Hacettepe Journal of Mathematics and Statistics, cilt.48, sa.1, ss.28-44, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2017.506
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.28-44
  • Anahtar Kelimeler: Conformal slant-submersion, Conformal submersion, Riemannian submersion, Slant-submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

As a generalization of conformal holomorphic submersions and conformal anti-invariant submersions, we introduce a new conformal submersion from almost Hermitian manifolds onto Riemannian manifolds, namely conformal slant submersions. We give examples and find necessary and sufficient conditions for such maps to be harmonic morphism. We also investigate the geometry of foliations which are arisen from the definition of a conformal submersion and obtain a decomposition theorem on the total space of a conformal slant submersion. Moreover, we find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.